MTH202 Assignment 1 Solution Spring 2021 - Discrete Mathematics Assignment

 

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MTH202 ASSIGNMENT 1 SOLUTION SPRING 2021

DISCRETE MATHEMATICS

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Due Date: 20-05-2021

Total Marks: 10

QUESTION No 1:

Let the universal set U be the set of integers and A = { x € z | 0 < x ≤ 5 } and

B = { x € z | 3 ≤ x <9 }, then find

(i) (AUB)C

(ii) (A∩B)C

 

SOLUTION:

(i) (AUB)C

A = {1, 2, 3, 4, 5} U {3,4,5,6,7,8}

   = {1,2,3,4,5,6,7,8}

U = {0, ±1,±2,±3,….}

(AUB)C = U – (AUB)

= {…,-2,-1,-0,-1,2,3,….} – {1,2,3,4,5,6,7,8}

(AUB)C  = {….,-2,-1,0,9,10,11,12,…..}

(AUB)C = {x € z | x ∉ {1,2,3,4,5,6,7,8}}

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(ii) (A∩B)C

A∩B = {1,2,3,4,5} ∩ {3,4,5,6,7,8}

= {3,4,5}

(A∩B)C = U - (A∩B)

= {…,-3,-2,-1,-0,-1,2,3,….} – {3,4,5}

(A∩B)C = {…,-2-1,0,1,2,6,7,8,…}

(A∩B)C = {x € z | x ∉ {3,4,5}}

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MTH202 Assignment 1 Solution Spring 2021
Discrete Mathematics Assignment 1 2021